# Find the General Solution of the Following Equation: Cos X = − √ 3 2 - Mathematics

Sum

Find the general solution of the following equation:

$\cos x = - \frac{\sqrt{3}}{2}$

#### Solution

We have:
$\cos x = - \frac{\sqrt{3}}{2}$
The value of x satisfying

$\cos x = - \frac{\sqrt{3}}{2}$ is $\frac{7\pi}{6}$
⇒ $\cos x = \cos\frac{7\pi}{6}$
⇒ $x = 2n\pi \pm \frac{7\pi}{6}$
$n \in Z$
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 11 Trigonometric equations
Exercise 11.1 | Q 1.2 | Page 21